One ticket is selected at random from 100 tickets numbered 00,01,02,...,98,99. If `x_1, a n dx_2` denotes the sum and product of the digits on the tickets, then `P(x_1=9//x_2=0)` is equal to a.`2//19` b. `19//100` c. `1//50` d. none of these

One ticket is selected at random from 100 tickets numbered 00,01,02, …, 99. Suppose A and B are the sum and product of the digit found on the ticket, respectively. Then P((A=7)//(B=0)) is given by

One ticket is selected at random from 100 tickets numbered 00,01,02,...,98,99. Suppose S and T are the sum and product of the digits of the number on the ticket, then the probability of getting S=9 and T=0 is 2//19 b. 19//100 c. 1//50 d. none of these

One ticket is selected at random from 50 tickets numbered 00, 01, 02, ... , 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals (1) 1/14 (2) 1/7 (3) 5/14 (4) 1/50

If P_(n) denotes the product of all the coefficients of (1+x)^(n) and 9!P_(n+1)=10^(9)P_(n) then n is equal to

A natural number is chosen at random from the first 100 natural numbers. The probability that x+(100)/x > 50 is 1//10 b. 11//50 c. 11//20 d. none of these

If the average of the numbers 1,2,3,…., 98,99,x is 100x, then the value of x is

The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. 2 b. 0 c. 1 d. none of these

The box contains tickets numbered from 1 to 20. Three tickets are drawn from the box with replacement. The probability that the largest number on the tickets is 7 is (A) 2/19 (B) 7/20 (C) 1-(7/200)^3 (D) none of these

A bag contains 50 tickets numbered 1, ,2 3, ...50. Find the number of set of five tickets x_1< x_2< x_3< x_4< x_5 a n d x_3=30.

The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s -99^2 b. 1 c. -2500 d. none of these